112200000100100 has 216 divisors, whose sum is σ = 272084220261000. Its totient is φ = 40124860160000.

The previous prime is 112200000100073. The next prime is 112200000100151. The reversal of 112200000100100 is 1001000002211.

It can be written as a sum of positive squares in 12 ways, for example, as 55208733946564 + 56991266153536 = 7430258^2 + 7549256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181784816 + ... + 182400984.

It is an arithmetic number, because the mean of its divisors is an integer number (1259649167875).

Almost surely, 2^{112200000100100} is an apocalyptic number.

112200000100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200000100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136042110130500).

112200000100100 is an abundant number, since it is smaller than the sum of its proper divisors (159884220160900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112200000100100 is a wasteful number, since it uses less digits than its factorization.

112200000100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616455 (or 616437 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 112200000100100 its reverse (1001000002211), we get a palindrome (113201000102311).

The spelling of 112200000100100 in words is "one hundred twelve trillion, two hundred billion, one hundred thousand, one hundred".